10233343200224 has 96 divisors (see below), whose sum is σ = 20940228449280. Its totient is φ = 4916892008448.

The previous prime is 10233343200191. The next prime is 10233343200277. The reversal of 10233343200224 is 42200234333201.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295002209 + ... + 295036895.

It is an arithmetic number, because the mean of its divisors is an integer number (218127379680).

Almost surely, 2^{10233343200224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10233343200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10470114224640).

10233343200224 is an abundant number, since it is smaller than the sum of its proper divisors (10706885249056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10233343200224 is a wasteful number, since it uses less digits than its factorization.

10233343200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36220 (or 36212 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 10233343200224 its reverse (42200234333201), we get a palindrome (52433577533425).

The spelling of 10233343200224 in words is "ten trillion, two hundred thirty-three billion, three hundred forty-three million, two hundred thousand, two hundred twenty-four".